Group : Sym(7)

Order : 5040

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Total number of polytopes : 44

Number of polytopes of rank 3 : 35

Polytopes References
{ 3 , 10 } [ 25 ]
{ 3 , 12 } [ 30 ]
{ 4 , 7 } [ 3, 4, 9 ]
{ 4 , 10 } [ 6 ]
{ 4 , 12 } [ 5, 31 ]
{ 5 , 6 } [ 13 ]
{ 5 , 7 } [ 11, 12 ]
{ 5 , 10 } [ 14 ]
{ 6 , 6 } [ 2 ]
{ 6 , 7 } [ 1, 7, 10, 15, 16 ]
{ 6 , 10 } [ 17, 23 ]
{ 6 , 12 } [ 8, 18 ]
{ 7 , 7 } [ 33, 34, 35 ]
{ 7 , 10 } [ 20, 21 ]
{ 7 , 12 } [ 27, 28, 29 ]
{ 10 , 10 } [ 22 ]
{ 10 , 12 } [ 19, 24 ]
{ 12 , 12 } [ 26, 32 ]

Number of polytopes of rank 4 : 7

Polytopes References
{ 3 , 6 , 5 } [ 36 ]
{ 3 , 6 , 6 } [ 39 ]
{ 4 , 3 , 6 } [ 37 ]
{ 5 , 3 , 6 } [ 42 ]
{ 5 , 4 , 6 } [ 40 ]
{ 5 , 5 , 6 } [ 41 ]
{ 6 , 4 , 6 } [ 38 ]

Number of polytopes of rank 5 : 1

Polytopes References
{ 3 , 3 , 6 , 4 } [ 43 ]

Number of polytopes of rank 6 : 1

Polytopes References
{ 3 , 3 , 3 , 3 , 3 } [ 44 ]